
Systems Inequality Word Problems
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
Used 4+ times

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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.
57x + 72y ≥ 2700
57x + 72y > 2700
57x + 72y < 2700
57x + 72y ≤ 2700
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.
14x + 5y ≥ 1000
14x + 5y < 1000
14x + 5y ≤ 1000
14x + 5y > 1000
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the linear inequality in standard form for this situation: The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Tvs sell for $225 and DVD players sell for $175.
225x +175y ≤ 21,000
225x +175y ≥ 21,000
225x +175y < 21,000
225x +175y > 21,000
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
x + y ≥ 6
32x + 20y ≤ 150
x + y ≥ 632
x + 20y ≥ 150
x + y ≤ 6
32x + 20y ≤ 150
x + y ≤ 6
32x + 20y ≥ 150
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A
B
C
D
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
x + y 300
7.5x + 5.5y 2000
x + y 300
7.5x + 5.5y 2000
x + y 300
7.5x + 5.5y 2000
x + y 2000
7.5x + 5.5y 300
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(8,4)
(10,2)
(7,9)
(5,9)
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